Home / 1,327.20-1,991.10-402.78

Finding the Fourth Proportional to 1,327.20, 1,991.10 and 402.78

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Solution

The fourth proportional to 1,327.20, 1,991.10 and 402.78 is: 604.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.20 : 1,991.10 = 402.78 : x
  2. Step 2: Convert to fraction form
    1,327.20/1,991.10 = 402.78/x
  3. Step 3: Cross multiply
    1,327.20x = 1,991.10 × 402.78
  4. Step 4: Simplify right side
    1,327.20x = 801,975.26
  5. Step 5: Solve for x
    x = 801,975.26/1,327.20
  6. Step 6: Final answer
    x = 604.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.